On commutativity of rings with generalized derivations
Let R be a prime ring, extended centroid C, Utumi quotient ring U, and m, n ≥ 1 are fixed positive integers, F a generalized derivation associated with a nonzero derivation d of R. We study the case when one of the following holds: (i) F(x)∘md(y)=(x∘y)n and (ii) (F(x)∘d(y))m=(x∘y)n, for all x, y in...
Main Authors: | , , |
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Format: | Article |
Language: | English |
Published: |
SpringerOpen
2016-04-01
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Series: | Journal of the Egyptian Mathematical Society |
Subjects: | |
Online Access: | http://www.sciencedirect.com/science/article/pii/S1110256X15000097 |